The generator matrix 1 0 1 1 1 0 1 1 X 1 1 X+2 1 2 X 1 1 1 0 1 1 0 X+1 1 X X+3 1 X+2 3 1 0 1 2 X+1 0 0 0 0 X X+2 0 X+2 X X X+2 0 0 0 2 X X 0 2 0 0 0 0 2 0 0 0 2 2 0 0 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 2 0 0 0 0 0 0 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 0 0 0 2 0 generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+54x^12+16x^13+204x^14+208x^15+583x^16+544x^17+880x^18+544x^19+590x^20+208x^21+188x^22+16x^23+48x^24+8x^26+4x^28 The gray image is a code over GF(2) with n=72, k=12 and d=24. This code was found by Heurico 1.16 in 0.102 seconds.